Answer
$1.7\times 10^8m$
Work Step by Step
We know that
$t=\frac{2d}{c}$
We plug in the known values to obtain:
$(1-0.15c)=\frac{2d}{\frac{2d}{c}+\Delta t}$
$\implies 0.85c=\frac{2dc}{2d+c\Delta t}$
$2d+c\Delta t=\frac{2d}{0.85}$
This simplifies to:
$d=\frac{c\Delta t}{2(0.17647)}$
$d=\frac{(3.0\times 10^8m/s)(0.20s)}{2(0.17647)}$
$d=1.7\times 10^8m$